Some cyclists ride their bicycles on the wrong side of the road, the opposite direction of car traffic. Suppose that 8.5 % of cyclist ride on the wrong side of the road. Given that a serious accident involving a cyclist occurred, in 40 % of these accidents the cyclist was riding on the wrong side of the road. 6.7 % of cyclists have serious accidents. What is the probability that a cyclist will ever have a serious accident, given that they ride on the wrong side of the road?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
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Some cyclists ride their bicycles on the wrong side of the road, the opposite direction of car traffic. Suppose that 8.5 % of cyclist ride on the wrong side of the road. Given that a serious accident involving a cyclist occurred, in 40 % of these accidents the cyclist was riding on the wrong side of the road. 6.7 % of cyclists have serious accidents.

What is the probability that a cyclist will ever have a serious accident, given that they ride on the wrong side of the road?

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